Geometric description of images as topographic maps
Author(s)
Bibliographic Information
Geometric description of images as topographic maps
（Lecture notes in mathematics, 1984）
Springer, c2010
Available at / 52 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1984200014018793
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Note
Includes bibliographical references (p. 179-184) and index
Description and Table of Contents
Description
This book discusses the basic geometric contents of an image and presents a treedatastructuretohandleite?ciently.Itanalyzesalsosomemorphological operators that simplify this geometric contents and their implementation in termsofthe datastructuresintroduced.It?nallyreviewsseveralapplications to image comparison and registration, to edge and corner computation, and the selection of features associated to a given scale in images. Let us ?rst say that, to avoid a long list, we shall not give references in this summary; they are obviously contained in this monograph. A gray level image is usually modeled as a function de?ned in a bounded N domain D? R (typically N = 2 for usual snapshots, N=3formedical images or movies) with values in R. The sensors of a camera or a CCD array transform the continuum of light energies to a ?nite interval of values by means of a nonlinear function g. The contrast change g depends on the pr- ertiesofthesensors,butalsoontheilluminationconditionsandthere?ection propertiesofthe objects,andthoseconditionsaregenerallyunknown.Images are thus observed modulo an arbitrary and unknown contrast change.
Table of Contents
The Tree of Shapes of an Image.- Grain Filters.- A Topological Description of the Topographic Map.- Merging the Component Trees.- Computation of the Tree of Shapes of a Digital Image.- Computation of the Tree of Bilinear Level Lines.- Applications.
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